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Finding the Fourth Proportional to 11,242.71, 16,851.24 and 6,850.44

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Solution

The fourth proportional to 11,242.71, 16,851.24 and 6,850.44 is: 10,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.71 : 16,851.24 = 6,850.44 : x
  2. Step 2: Convert to fraction form
    11,242.71/16,851.24 = 6,850.44/x
  3. Step 3: Cross multiply
    11,242.71x = 16,851.24 × 6,850.44
  4. Step 4: Simplify right side
    11,242.71x = 115,438,408.55
  5. Step 5: Solve for x
    x = 115,438,408.55/11,242.71
  6. Step 6: Final answer
    x = 10,267.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.